The developed software application allows the user to model phase transformations under isothermal conditions for a specified steel grade at arbitrary tempering temperature. Architecture of the software application using scheme of the chart of distributed computation of simulation model kinematic parameters for reducing time expenditures during computer experiments. The recognition algorithm of raster images on the isothermal and thermokinetic diagrams has been proposed. The imaging algorithm of the material structure after heat treatment have been developed.
Equations, which have nonlinear nonmonotonic dependence of one of the coefficients on an unknown function, can describe processes of heat and mass transfer. As a rule, existing approximate methods do not provide solutions with acceptable accuracy. Numerical methods do not involve obtaining an analytical expression for the unknown function and require studying the convergence of the algorithm used. The value of absolute error is uncertain. The authors propose an approximate method for solving such problems based on Westphal comparison theorems. The comparison theorems allow finding upper and lower bounds of the unknown exact solution. A special procedure developed for the stepwise improvement of these bounds provide solutions with a given accuracy. There are only a few problems for equations with nonlinear nonmonotonic coefficients for which the exact solution has been obtained. One of such problems, presented in this article, shows the efficiency of the proposed method. The results prove that the proposed method for obtaining bounds of the solution of a nonlinear nonmonotonic equation of parabolic type can be considered as a new method of the approximate analytical solution having guaranteed accuracy. In addition, the proposed here method allows calculating the maximum deviation from the unknown exact solution of the results of other approximate and numerical methods.
Abstract. The mathematical model of heat exchange process through multilayer enclosure structure is constructed. Herein infiltration and heatconducting inclusions are taken into account. Heat exchange process modeling in the stationary and non-stationary conditions is considered.The method of temperature field constructing based on the suggested model is offered. The three-dimensional boundary problem of non-stationary heat conductivity is solved numerically using the implicit method of alternating directions. The temperature field constructing of the enclosure structures in the non-stationary condition allows to track dynamics of thermal flows through enclosing structures and to receive the thermal resistance considering influence of heat-conducting inclusions.
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